Diablo Valley College
The Language of Sets and Set Notation
The basics of number theory and set notation are explained in a highly approachable way in a self-contained lesson and worksheet. Introducing the vocabulary and concepts from ground zero and building to more complex ideas of subsets and...
EngageNY
The Graph of the Equation y = f(x)
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
EngageNY
The Graph of a Function
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
Willow Tree
Scientific Notation
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation.
CK-12 Foundation
Numbers in Expanded Form: Pennies Expanded Form
Beginning with a word problem that poses the question of making groups of 10 pennies to translate into a single dime, pupils are challenged to make sense of the amount of dollars 33 cents is in expanded form.
EngageNY
Solution Sets for Equations and Inequalities
How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....
Ohio Department of Education
Multiplying and Dividing in Scientific Notation - Grade 8
Here is really nice set of resources on scientific notation. Eighth and ninth graders explore the concept of multiplying and dividing in scientific notation. In this multiplying and dividing numbers in scientific notation lesson,...
CK-12 Foundation
Sum Notation and Properties of Sigma: Cracking the Code
Help your class develop an understanding of sigma notation. Pupils match the sigma notation with the sums. Using the expanded sums, learners evaluate the summations. The scholars move on to prove a property of sums.
Curated OER
Expanded Form
Practice place value through writing numbers in expanded form; scholars do this with numbers up to five digits. There are two examples to demonstrate the process, and the problems are split into four distinct sections to keep pupils...
Curated OER
Expanded Form
Writing numbers in expanded form is a great way to practice place value, and here scholars do this with numbers up to six digits. There are two examples to demonstrate the process, and scholars complete four distinct sections to keep...
Curated OER
Sets, Relations, and Functions
Sets, relations, functions, and graphing linear equations are practiced in this challenging worksheet. The class determines if a relation is a function or not and find the functional value of a domain element. The one page worksheet...
EngageNY
Base 10 and Scientific Notation
Use a resource on which you can base your instructional activity on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with...
Mathematics Assessment Project
Estimating Length Using Scientific Notation
Would you rather have a million dollars or 1 x 10^6 dollars? To find the answer to this question, class members first complete an assessment task converting numbers between decimal notation and scientific notation. They then take part in...
EngageNY
Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology
Examine numbers in scientific notation as a comparison of size. The 14th lesson in the series asks learners to rewrite numbers as the same power of 10 in scientific notation to make comparisons. Pupils also learn how to use a calculator...
CK-12 Foundation
Scientific Notation: Matching Numbers to Notation
Explore the conversion of numbers to scientific notation and back again. Learners begin with a matching activity to identify equivalent expressions. Then guiding questions test and extend their understanding.
EngageNY
Multiplication of Numbers in Exponential Form
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
Curated OER
Place Value and Expanded Form
Because there is only one place-value problem here and a detailed explanation below, use this as an all-class warm up. Learners write 369 in expanded form with a little assistance by a place value table. They can fill in the hundreds,...
Curated OER
Interval Notation and Linear Inequalities
In this interval notation and linear inequalities instructional activity, students use number lines and solve equations. Students complete 64 problems total.
Flipped Math
True False Equations
Determine what makes the equation true. Learners view an instruction video on determining what values make an algebraic equation true. The pupils describe the solution set using three different methods: verbally, set notation, and...
CK-12 Foundation
Scientific Notation: Light Years to Centaurus Constellation
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
CK-12 Foundation
Scientific Notation Values
Scientific notation is the focus of a five-question interactive. A model with movable points offers a visual reference to help solve true or false, multiple-choice, and fill in the blank questions. A discussion question challenges...
Illustrative Mathematics
Points on a Graph
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
Curated OER
Scientific Notation and Metric Prefixes
In this physics worksheet, students complete 5 sets of unit conversion problems. They express exponential expressions to expanded form and vice versa.
EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
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